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Finding the Fourth Proportional to 12,442, 17,171.88 and 7,726.48

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Solution

The fourth proportional to 12,442, 17,171.88 and 7,726.48 is: 10,663.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,442 : 17,171.88 = 7,726.48 : x
  2. Step 2: Convert to fraction form
    12,442/17,171.88 = 7,726.48/x
  3. Step 3: Cross multiply
    12,442x = 17,171.88 × 7,726.48
  4. Step 4: Simplify right side
    12,442x = 132,678,187.38
  5. Step 5: Solve for x
    x = 132,678,187.38/12,442
  6. Step 6: Final answer
    x = 10,663.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.